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Simplifying 6(x + 7) + (x + 3) = 0 Reorder the terms: 6(7 + x) + (x + 3) = 0 (7 * 6 + x * 6) + (x + 3) = 0 (42 + 6x) + (x + 3) = 0 Reorder the terms: 42 + 6x + (3 + x) = 0 Remove parenthesis around (3 + x) 42 + 6x + 3 + x = 0 Reorder the terms: 42 + 3 + 6x + x = 0 Combine like terms: 42 + 3 = 45 45 + 6x + x = 0 Combine like terms: 6x + x = 7x 45 + 7x = 0 Solving 45 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 7x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 7x = 0 + -45 7x = 0 + -45 Combine like terms: 0 + -45 = -45 7x = -45 Divide each side by '7'. x = -6.428571429 Simplifying x = -6.428571429
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